Search a number
-
+
1107048100338 = 23464731055713
BaseRepresentation
bin10000000111000001001…
…101010111000111110010
310220211111002022100210000
4100013001031113013302
5121114213303202323
62204323150450430
7142660453410015
oct20070115270762
93824432270700
101107048100338
11397550879104
1215a678203a16
1380518052a4b
143b81d58537c
151dbe461be43
hex101c13571f2

1107048100338 has 40 divisors (see below), whose sum is σ = 2480993354268. Its totient is φ = 368958675456.

The previous prime is 1107048100297. The next prime is 1107048100343. The reversal of 1107048100338 is 8330018407011.

1107048100338 is a `hidden beast` number, since 110 + 70 + 48 + 100 + 338 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1068860296449 + 38187803889 = 1033857^2 + 195417^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 520770 + ... + 1576482.

Almost surely, 21107048100338 is an apocalyptic number.

1107048100338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1107048100338 is an abundant number, since it is smaller than the sum of its proper divisors (1373945253930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1107048100338 is a wasteful number, since it uses less digits than its factorization.

1107048100338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062200 (or 1062191 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1107048100338 in words is "one trillion, one hundred seven billion, forty-eight million, one hundred thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 6473 12946 19419 38838 58257 116514 174771 349542 524313 1048626 1055713 2111426 3167139 6334278 9501417 19002834 28504251 57008502 85512753 171025506 6833630249 13667260498 20500890747 41001781494 61502672241 123005344482 184508016723 369016033446 553524050169 1107048100338